advanced current mirrors and opamps · wide-swing current mirrors 2 it is proven that if both of...
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Advanced Current Mirrors and Opamps
Hossein Shamsi
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Wide-Swing Current Mirrors
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It is proven that if both of the following conditions are satisfied, then all transistors will be biased in the saturation region.
efftn
effout
nVVVnV 1
Typically n is chosen identical to 1. So the output swing will be:
effout VV 2
Enhanced Output-Impedance Current Mirrors
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ArrgR dsdsmout 1211
Implementation of Enhanced Output-Impedance Current Mirror
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13 effefftnout VVVV 2
33211
dsmdsdsmout
rgrrgR
Advantage:•High Output-ImpedanceDisadvantages:•Low Output-Swing•Imprecise Current Mirror
Implementation of Enhanced Output-Impedance Current Mirror
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13 effefftnout VVVV
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3211ds
mdsdsmout
rgrrgR
Advantages:•High Output-Impedance•Precise Current MirrorDisadvantage:•Low Output-Swing
Implementation of Enhanced Output-Impedance Current Mirror
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12 effout VV 2
33211
dsmdsdsmout
rgrrgR Advantages:•High Output-Impedance•High Output-SwingDisadvantage:•Imprecise Current Mirror
Wide-Swing Current Mirror with Enhanced Output-Impedance
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12 effout VV 2
33211
dsmdsdsmout
rgrrgR
Advantages:•High Output-Impedance•Precise Current Mirror•High Output-SwingDisadvantage:•High Power Consumption
Modified Wide-Swing Current Mirror with Enhanced Output-Impedance
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12 effout VV 2
33211
dsmdsdsmout
rgrrgR
Advantages:•High Output-Impedance•Precise Current Mirror•High Output-Swing
Current Mirror Symbol
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Folded-Cascode Opamp
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•This opamp is useful when we want to drive capacitive loads.•One of the most important parameters of this modern opamp is its transconductance value.•Therefore, some designers refer to this modern opamp as Operational Transconductance Amplifier (OTA).
Remember the wide-swing current mirror
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Opamp Gain
12
imsc
sc
im vgiii
vgi2
2
22
13661088 dsdsdsmdsdsmout rrrgrrgr
outmVscouto rgAirv 1
Competition between Two Current Sources
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If Ibias1>Ibias2 Q1:Triode Q3:Active I=Ibias2
If Ibias2>Ibias1 Q1:Active Q3:Triode I=Ibias1
Assume that:
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21
LW
LW
LW
LW
Slew Rate
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Assuming Ibias2>ID4 and Vin+>>Vin-L
D
CISR 4
Assuming Ibias2>ID4 and Vin->>Vin-L
D
CISR 4
Lemma
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9
1
mgR
Wide-swing current mirror
Frequency Response
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38
29
15
2
1
10
1
1111
1
pm
pm
pm
p
L
mta
outm
Loutp
Cg
Cg
Cg
Cg
rgACr
Another Schematic for Folded-Cascode Opamp
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tpBouttnB VVVVV 12
tnefftpBcmieffefftn VVVVVVVV 61121
Output swing:
Input common-mode range:
Folded-Cascode Opamp without wide-swing current source
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Folded-Cascode Opamp(pmos-input)
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Folded-Cascode Opamp(pmos-input)
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What is the DC voltage of the output node?
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In a single-ended opamp, the DC voltage of the output node is determined by the feedback circuit around the opamp.
dcVout
inbiasbiasout VVRRVV
1
2
Fully Differential Folded-Cascode Opamp
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The bias voltages Vb1, Vb4, and Vb5 must be chosen so that the following relation is satisfied!!!ID9=0.5ID12+ID3
The opamp is completely symmetric. So we can use the half-circuit of the opamp for AC analysis.
Fully Differential Folded-Cascode Opamp(half-circuit)
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pm
p
L
imta
outim
Loutp
Cg
Cg
rgACr
7
2
0
1
11
1
What is the DC voltage of the output nodes?
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In a single-ended opamp, the DC voltage of the output node is determined by the feedback circuit around the opamp.
dcVout
CMxoooxCMoCM
oCM
xCM
VVVVVVVVVRIVV
RVVI
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The DC voltage of the output nodes can not be determined!!!
CMii VVV
Common-Mode Feedback Circuit(CMFB Circuit)
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In a fully differential opamp, the CMFB circuit is employed inside the opamp to adjust the common-mode voltage of the output nodes identical to a predetermined voltage, Vref.
CMxo VVVKCLandKVL 2
refoo VVVCircuitCMFB
2
2CMref
x
refoo
VVV
VVV
Ideal CMFB Circuit (1)
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Vref denotes the desired output common-mode voltage.
Ideal CMFB Circuit (2)
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Vref denotes the desired output common-mode voltage.
Ideal CMFB Circuit (3)
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Vref denotes the desired output common-mode voltage.
Single-ended Telescopic Opamp
imsc vgi 1
866244 dsdsmdsdsmout rrgrrgr
outmVscouto rgAirv 1
Slew Rate
30L
SS
CISRSR
Frequency Response
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36
27
13
2
0
1
1111
1
pm
pm
pm
p
L
mta
outm
Loutp
Cg
Cg
Cg
Cg
rgACr i
i
Input common-mode range and output swing
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tpBouttnB VVVVV 21
3191 effBcmieffefftn VVVVVV
Output swing:
Input common-mode range:
Telescopic Opamp without wide-swing current source
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Fully Differential Telescopic Opamp
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The bias voltages Vb3 and Vb4 must be chosen so that the following relation is satisfied!!!ID7=0.5ID9The opamp is completely symmetric. So we can use the half-circuit of the opamp for AC analysis.
Fully Differential Telescopic Opamp(half-circuit)
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pm
p
L
mta
outm
Loutp
Cg
Cg
rgACr
3
2
1
10
1
11
1
Ideal CMFB Circuit (1)
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Vref denotes the desired output common-mode voltage.
Ideal CMFB Circuit (2)
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Vref denotes the desired output common-mode voltage.
Fully Differential Two-Stage Opamp(nmos input)
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L
mp
M
mta
mm
CCg
Cg
RgRgA
1
52
1
25110
C1 denotes the parasitic capacitance.
Fully Differential Two-Stage Opamp(pmos input)
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Fully Differential Two-Stage Opamp(First Stage: Telescopic Cascode)
C1 denotes the parasitic capacitance at node X.Miller compensation method is utilized.
L
mp
M
mta
mm
CCg
Cg
RgRgA
1
92
1
29110
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Gain-Boosting Opamp
It is proven that the auxiliary amplifier will not affect the performance of the main amplifier if the following relation is satisfied.
AmplifierMainAmplifierAuxiliary UGBWUGBW
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Gain-Boosting Opamp
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Differential Pair as an Auxiliary Opamp
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Folded-Cascode Circuit as an Auxiliary Opamp
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Comparison of Performance of Various Opamp Topologies